Exercise 3. A reporter for Time Magazine was interested in residents' levels of worry about being the victim of crime in their neighborhood. They performed a telephone poll of 500 adult Americans, 140 from urban areas. 160 from suburban, and 200 from rural areas. The results of the survey are summarized in the table below: Urban Suburban Rural Worry about being victim 83 92 86 Do Not Worry about being victim 57 68 114 Total 140 160 200 a. Perform a hypothesis test at the 5% level of significance to determine if there is evidence of a difference in the proportion of urban and suburban residents who worry about being the victim of crime. (Be sure to state your hypotheses, assumptions, and show your test statistic and p value computations by hand.) b. Create a 95% confidence interval for TR - Ty, the difference in proportion of rural and urban residents who worry about being a victim of crime. (Be sure to state your assumptions and show your computations by hand.) Interpret the confidence interval in the context of the question. c. Suppose you look closer at the article and see that the reporter asked all adults within a household to respond to the question and recorded their responses. Does this concern you? If so, why? If not, why not